Subgroups — C₇×#61004 #13238220

Order 1792.

1732 conjugacy classes of subgroups.

The subgroup lattice has 1698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#3495	C₂	1	1	yes	maximal, characteristic, complemented
2	C₇×#3494	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇×#3256	C₂	1	1	yes	maximal, characteristic, complemented
4	C₇×#3254	C₂	1	1	yes	maximal, characteristic, complemented
5	C₇×#3252	C₂	1	1	yes	maximal, characteristic, complemented
6	C₇×#3251	C₂	1	1	yes	maximal, characteristic, complemented
7	C₇×#3243	C₂	1	1	yes	maximal, characteristic, complemented
8	C₇×#3243	C₂	1	1	yes	maximal, characteristic, complemented
9	C₇×#3242	C₂	1	1	yes	maximal, characteristic, complemented
10	C₇×#3241	C₂	1	1	yes	maximal, characteristic, complemented
11	C₇×#3225	C₂	1	1	yes	maximal, characteristic, complemented
12	C₇×#3224	C₂	1	1	yes	maximal, characteristic, complemented
13	C₇×#3222	C₂	1	1	yes	maximal, characteristic, complemented
14	C₇×#3221	C₂	1	1	yes	maximal, characteristic, complemented
15	C₇×#3197	C₂	1	1	yes	maximal, characteristic, complemented
16	C₇×#3196	C₂	1	1	yes	maximal, characteristic, complemented
17	C₇×#3194	C₂	1	1	yes	maximal, characteristic, complemented
18	C₇×#3193	C₂	1	1	yes	maximal, characteristic, complemented
19	C₇×#3183	C₂	1	1	yes	maximal, characteristic, complemented
20	C₇×#3182	C₂	1	1	yes	maximal, characteristic, complemented
21	C₇×#3172	C₂	1	1	yes	maximal, characteristic, complemented
22	C₇×#3171	C₂	1	1	yes	maximal, characteristic, complemented
23	C₇×#3126	C₂	1	1	yes	maximal, characteristic, complemented
24	C₇×#3124	C₂	1	1	yes	maximal, characteristic, complemented
25	C₇×#3124	C₂	1	1	yes	maximal, characteristic, complemented
26	C₇×#3123	C₂	1	1	yes	maximal, characteristic, complemented
27	C₇×#3121	C₂	1	1	yes	maximal, characteristic, complemented
28	C₇×#3120	C₂	1	1	yes	maximal, characteristic, complemented
29	C₇×#3119	C₂	1	1	yes	maximal, characteristic, complemented
30	C₇×#3118	C₂	1	1	yes	maximal, characteristic, complemented
31	C₇×#2921	C₂	1	1	yes	maximal, characteristic, complemented
32	C₇×#556	—	2	1	no	—
33	C₇×#555	—	2	1	no	—
34	C₇×#554	—	2	1	no	—
35	C₇×#553	—	2	1	no	—
36	C₇×#553	—	2	1	no	—
37	C₇×#552	—	2	1	no	—
38	C₇×#552	—	2	1	no	—
39	C₇×#552	—	2	1	no	—
40	C₇×#552	—	2	1	no	—
41	C₇×#551	—	2	1	no	—
42	C₇×#551	—	2	1	no	—
43	C₇×#551	—	2	1	no	—
44	C₇×#551	—	2	1	no	—
45	C₇×#547	—	2	1	no	—
46	C₇×#546	—	2	1	no	—
47	C₇×#546	—	2	1	no	—
48	C₇×#544	C₂²	1	1	yes	characteristic
49	C₇×#544	C₂²	1	1	yes	characteristic, complemented
50	C₇×#542	C₂²	1	1	yes	characteristic
51	C₇×#542	C₂²	1	1	yes	characteristic
52	C₇×#542	C₂²	1	1	yes	characteristic
53	C₇×#542	C₂²	1	1	yes	characteristic
54	C₇×#541	C₂²	1	1	yes	characteristic
55	C₇×#541	C₂²	1	1	yes	characteristic
56	C₇×#540	C₂²	1	1	yes	characteristic
57	C₇×#540	C₂²	1	1	yes	characteristic
58	C₇×#536	C₂²	1	1	yes	characteristic, complemented
59	C₇×#535	C₂²	1	1	yes	characteristic
60	C₇×#533	C₂²	1	1	yes	characteristic, complemented
61	C₇×#533	C₂²	1	1	yes	characteristic, complemented
62	C₇×#532	C₂²	1	1	yes	characteristic
63	C₇×#532	C₂²	1	1	yes	characteristic
64	C₇×#529	C₂²	1	1	yes	characteristic
65	C₇×#529	C₂²	1	1	yes	characteristic
66	C₇×#529	C₂²	1	1	yes	characteristic, complemented
67	C₇×#529	C₂²	1	1	yes	characteristic, complemented
68	C₇×#525	C₂²	1	1	yes	characteristic
69	C₇×#525	C₂²	1	1	yes	characteristic
70	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
71	C₂×C₇×#121	C₂²	1	1	yes	characteristic
72	C₇×#520	C₂²	1	1	yes	characteristic
73	C₇×#520	C₂²	1	1	yes	characteristic, complemented
74	C₇×#519	C₂²	1	1	yes	characteristic, complemented
75	C₇×#518	C₂²	1	1	yes	characteristic
76	C₂×C₇×#117	C₂²	1	1	yes	characteristic
77	C₇×#501	C₂²	1	1	yes	characteristic, complemented
78	C₇×#501	C₂²	1	1	yes	characteristic, complemented
79	C₇×#500	C₂²	1	1	yes	characteristic, complemented
80	C₇×#499	C₂²	1	1	yes	characteristic, complemented
81	C₇×#497	C₂²	1	1	yes	characteristic, complemented
82	C₇×#496	C₂²	1	1	yes	characteristic, complemented
83	C₇×#495	C₂²	1	1	yes	characteristic, complemented
84	C₇×#492	C₂²	1	1	yes	characteristic, complemented
85	C₇×#491	C₂²	1	1	yes	characteristic, complemented
86	C₇×#490	C₂²	1	1	yes	characteristic, complemented
87	C₇×#489	C₂²	1	1	yes	characteristic, complemented
88	C₇×#489	C₂²	1	1	yes	characteristic, complemented
89	C₇×#488	C₂²	1	1	yes	characteristic, complemented
90	C₇×#488	C₂²	1	1	yes	characteristic, complemented
91	C₇×#487	C₂²	1	1	yes	characteristic, complemented
92	C₇×#486	C₂²	1	1	yes	characteristic, complemented
93	C₇×#485	C₂²	1	1	yes	characteristic
94	C₇×#485	C₂²	1	1	yes	characteristic
95	C₇×#485	C₂²	1	1	yes	characteristic
96	C₇×#485	C₂²	1	1	yes	characteristic, complemented
97	C₇×#484	C₂²	1	1	yes	characteristic
98	C₇×#484	C₂²	1	1	yes	characteristic
99	C₇×#484	C₂²	1	1	yes	characteristic, complemented
100	C₇×#483	C₂²	1	1	yes	characteristic
101	C₇×#482	C₂²	1	1	yes	characteristic
102	C₇×#482	C₂²	1	1	yes	characteristic
103	C₇×#482	C₂²	1	1	yes	characteristic
104	C₇×#482	C₂²	1	1	yes	characteristic, complemented
105	C₇×#481	C₂²	1	1	yes	characteristic, complemented
106	C₇×#480	C₂²	1	1	yes	characteristic
107	C₇×#480	C₂²	1	1	yes	characteristic
108	C₇×#480	C₂²	1	1	yes	characteristic
109	C₇×#479	C₂²	1	1	yes	characteristic, complemented
110	C₇×#479	C₂²	1	1	yes	characteristic, complemented
111	C₇×#479	C₂²	1	1	yes	characteristic, complemented
112	C₇×#479	C₂²	1	1	yes	characteristic, complemented
113	C₇×#478	C₂²	1	1	yes	characteristic, complemented
114	C₇×#478	C₂²	1	1	yes	characteristic, complemented
115	C₇×#478	C₂²	1	1	yes	characteristic, complemented
116	C₇×#478	C₂²	1	1	yes	characteristic, complemented
117	C₇×#477	C₂²	1	1	yes	characteristic, complemented
118	C₇×#477	C₂²	1	1	yes	characteristic, complemented
119	C₇×#477	C₂²	1	1	yes	characteristic, complemented
120	C₇×#476	C₂²	1	1	yes	characteristic, complemented
121	C₇×#475	C₂²	1	1	yes	characteristic, complemented
122	C₇×#474	C₂²	1	1	yes	characteristic, complemented
123	C₇×#474	C₂²	1	1	yes	characteristic, complemented
124	C₇×#474	C₂²	1	1	yes	characteristic, complemented
125	C₇×#470	C₂²	1	1	yes	characteristic, complemented
126	C₇×#470	C₂²	1	1	yes	characteristic, complemented
127	C₇×#470	C₂²	1	1	yes	characteristic, complemented
128	C₇×#469	C₂²	1	1	yes	characteristic
129	C₇×#469	C₂²	1	1	yes	characteristic
130	C₇×#469	C₂²	1	1	yes	characteristic, complemented
131	C₇×#468	C₂²	1	1	yes	characteristic
132	C₇×#468	C₂²	1	1	yes	characteristic
133	C₇×#468	C₂²	1	1	yes	characteristic
134	C₇×#468	C₂²	1	1	yes	characteristic
135	C₇×#468	C₂²	1	1	yes	characteristic
136	C₇×#468	C₂²	1	1	yes	characteristic
137	C₇×#468	C₂²	1	1	yes	characteristic, complemented
138	C₇×#468	C₂²	1	1	yes	characteristic, complemented
139	C₇×#468	C₂²	1	1	yes	characteristic, complemented
140	C₇×#468	C₂²	1	1	yes	characteristic, complemented
141	C₇×#464	C₂²	1	1	yes	characteristic, complemented
142	C₇×#464	C₂²	1	1	yes	characteristic, complemented
143	C₇×#464	C₂²	1	1	yes	characteristic, complemented
144	C₇×#464	C₂²	1	1	yes	characteristic, complemented
145	C₇×#463	C₂²	1	1	yes	characteristic, complemented
146	C₇×#463	C₂²	1	1	yes	characteristic, complemented
147	C₇×#463	C₂²	1	1	yes	characteristic, complemented
148	C₇×#463	C₂²	1	1	yes	characteristic, complemented
149	C₇×#462	C₂²	1	1	yes	characteristic, complemented
150	C₇×#461	C₂²	1	1	yes	characteristic, complemented
151	C₇×#461	C₂²	1	1	yes	characteristic, complemented
152	C₇×#461	C₂²	1	1	yes	characteristic, complemented
153	C₇×#460	C₂²	1	1	yes	characteristic, complemented
154	C₇×#460	C₂²	1	1	yes	characteristic, complemented
155	C₇×#460	C₂²	1	1	yes	characteristic, complemented
156	C₇×#459	C₂²	1	1	yes	characteristic, complemented
157	C₇×#452	C₂²	1	1	yes	characteristic
158	C₇×#452	C₂²	1	1	yes	characteristic
159	C₇×#452	C₂²	1	1	yes	characteristic
160	C₇×#452	C₂²	1	1	yes	characteristic, complemented
161	C₇×#451	C₂²	1	1	yes	characteristic, complemented
162	C₇×#450	C₂²	1	1	yes	characteristic
163	C₇×#450	C₂²	1	1	yes	characteristic
164	C₇×#450	C₂²	1	1	yes	characteristic
165	C₇×#449	C₂²	1	1	yes	characteristic
166	C₇×#449	C₂²	1	1	yes	characteristic
167	C₇×#449	C₂²	1	1	yes	characteristic
168	C₇×#449	C₂²	1	1	yes	characteristic, complemented
169	C₇×#448	C₂²	1	1	yes	characteristic
170	C₇×#448	C₂²	1	1	yes	characteristic
171	C₇×#448	C₂²	1	1	yes	characteristic, complemented
172	C₇×#447	C₂²	1	1	yes	characteristic
173	C₇×#442	C₂²	1	1	yes	characteristic, complemented
174	C₇×#441	C₂²	1	1	yes	characteristic, complemented
175	C₇×#440	C₂²	1	1	yes	characteristic, complemented
176	C₇×#440	C₂²	1	1	yes	characteristic, complemented
177	C₇×#440	C₂²	1	1	yes	characteristic, complemented
178	C₇×#440	C₂²	1	1	yes	characteristic, complemented
179	C₇×#440	C₂²	1	1	yes	characteristic, complemented
180	C₇×#440	C₂²	1	1	yes	characteristic, complemented
181	C₄×C₇×Q₁₆	C₂²	1	1	yes	characteristic, complemented
182	C₄×C₇×Q₁₆	C₂²	1	1	yes	characteristic, complemented
183	C₄×C₇×SD₁₆	C₂²	1	1	yes	characteristic, complemented
184	C₄×C₇×SD₁₆	C₂²	1	1	yes	characteristic, complemented
185	C₄×C₇×SD₁₆	C₂²	1	1	yes	characteristic, complemented
186	C₄×C₇×SD₁₆	C₂²	1	1	yes	characteristic, complemented
187	C₄×C₇×D₈	C₂²	1	1	yes	characteristic, complemented
188	C₄×C₇×D₈	C₂²	1	1	yes	characteristic, complemented
189	C₇×#433	C₂²	1	1	yes	characteristic
190	C₇×#433	C₂²	1	1	yes	characteristic
191	C₇×#433	C₂²	1	1	yes	characteristic
192	C₇×#433	C₂²	1	1	yes	characteristic
193	C₇×#433	C₂²	1	1	yes	characteristic, complemented
194	C₇×#433	C₂²	1	1	yes	characteristic, complemented
195	C₇×#433	C₂²	1	1	yes	characteristic, complemented
196	C₇×#433	C₂²	1	1	yes	characteristic, complemented
197	C₇×#423	C₂²	1	1	yes	characteristic, complemented
198	C₇×#423	C₂²	1	1	yes	characteristic, complemented
199	C₇×#407	C₂²	1	1	yes	characteristic
200	C₇×#407	C₂²	1	1	yes	characteristic
201	C₄×C₇×M₁₆	C₂²	1	1	yes	characteristic, complemented
202	C₄×C₇×M₁₆	C₂²	1	1	yes	characteristic, complemented
203	#61004	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
204	C₂×C₇×#41	—	2	1	no	—
205	C₂×C₇×#41	—	2	1	no	—
206	C₂×C₇×#41	C₂³	1	1	yes	characteristic
207	C₂×C₇×#41	C₂³	1	1	yes	characteristic
208	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
209	C₂²×C₇×D₄	—	2	1	no	—
210	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
211	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
212	C₂×C₇×Q₁₆	C₂³	1	1	yes	characteristic
213	C₂×C₇×Q₁₆	C₂³	1	1	yes	characteristic
214	C₂×C₇×Q₁₆	C₂³	1	1	yes	characteristic
215	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
216	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
217	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
218	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
219	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
220	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
221	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
222	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
223	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
224	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
225	C₂×C₇×D₈	C₂³	1	1	yes	characteristic
226	C₂×C₇×D₈	C₂³	1	1	yes	characteristic
227	C₂×C₇×D₈	C₂³	1	1	yes	characteristic
228	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
229	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
230	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
231	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
232	C₇×C₄⋊Q₈	—	2	1	no	—
233	C₇×C₄⋊Q₈	—	2	1	no	—
234	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
235	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
236	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
237	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
238	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
239	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
240	C₇×#127	C₂³	1	1	yes	characteristic
241	C₇×#127	C₂³	1	1	yes	characteristic
242	C₇×#126	—	2	1	no	—
243	C₇×#126	—	2	1	no	—
244	C₇×#126	—	2	1	no	—
245	C₇×#126	—	2	1	no	—
246	C₇×#126	—	2	1	no	—
247	C₇×#126	—	2	1	no	—
248	C₇×#126	—	2	1	no	—
249	C₇×#126	—	2	1	no	—
250	C₇×#126	—	2	1	no	—
251	C₇×#126	—	2	1	no	—
252	C₇×#126	—	2	1	no	—
253	C₇×#126	—	2	1	no	—
254	C₇×#125	—	2	1	no	—
255	C₇×#125	—	2	1	no	—
256	C₇×#125	—	2	1	no	—
257	C₇×#125	—	2	1	no	—
258	C₇×#125	—	2	1	no	—
259	C₇×#125	—	2	1	no	—
260	C₇×#125	—	2	1	no	—
261	C₇×#125	—	2	1	no	—
262	C₇×#125	C₂³	1	1	yes	characteristic
263	C₇×#125	C₂³	1	1	yes	characteristic
264	C₇×#125	C₂³	1	1	yes	characteristic
265	C₇×#125	C₂³	1	1	yes	characteristic
266	C₇×#124	—	2	1	no	—
267	C₇×#124	—	2	1	no	—
268	C₇×#124	—	2	1	no	—
269	C₇×#124	—	2	1	no	—
270	C₇×#124	—	2	1	no	—
271	C₇×#124	—	2	1	no	—
272	C₇×#124	C₂³	1	1	yes	characteristic
273	C₇×#124	C₂³	1	1	yes	characteristic
274	C₇×#124	C₂³	1	1	yes	characteristic
275	C₇×#124	C₂³	1	1	yes	characteristic
276	C₇×#123	—	2	1	no	—
277	C₇×#123	—	2	1	no	—
278	C₇×#123	—	2	1	no	—
279	C₇×#123	—	2	1	no	—
280	C₇×#123	—	2	1	no	—
281	C₇×#123	—	2	1	no	—
282	C₇×#123	—	2	1	no	—
283	C₇×#123	—	2	1	no	—
284	C₇×#123	—	2	1	no	—
285	C₇×#123	—	2	1	no	—
286	C₇×#123	—	2	1	no	—
287	C₇×#123	—	2	1	no	—
288	C₇×#123	—	2	1	no	—
289	C₇×#123	—	2	1	no	—
290	C₇×#123	—	2	1	no	—
291	C₇×#123	—	2	1	no	—
292	C₇×C₂²⋊Q₈	—	2	1	no	—
293	C₇×C₂²⋊Q₈	—	2	1	no	—
294	C₇×C₂²⋊Q₈	—	2	1	no	—
295	C₇×C₂²⋊Q₈	—	2	1	no	—
296	C₇×C₂²⋊Q₈	—	2	1	no	—
297	C₇×C₂²⋊Q₈	—	2	1	no	—
298	C₇×C₂²⋊Q₈	—	2	1	no	—
299	C₇×C₂²⋊Q₈	—	2	1	no	—
300	C₇×C₂²⋊Q₈	—	2	1	no	—
301	C₇×C₂²⋊Q₈	—	2	1	no	—
302	C₇×C₂²⋊Q₈	—	2	1	no	—
303	C₇×C₂²⋊Q₈	—	2	1	no	—
304	C₇×C₂²⋊Q₈	—	2	1	no	—
305	C₇×C₂²⋊Q₈	—	2	1	no	—
306	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
307	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
308	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
309	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
310	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
311	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
312	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
313	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
314	C₇×#121	—	2	1	no	—
315	C₇×#121	—	2	1	no	—
316	C₇×#121	—	2	1	no	—
317	C₇×#121	—	2	1	no	—
318	C₇×#121	—	2	1	no	—
319	C₇×#121	—	2	1	no	—
320	C₇×#121	—	2	1	no	—
321	C₇×#121	—	2	1	no	—
322	C₇×#121	—	2	1	no	—
323	C₇×#121	—	2	1	no	—
324	C₇×#121	C₂³	1	1	yes	characteristic
325	C₇×#121	C₂³	1	1	yes	characteristic
326	C₇×#121	C₂³	1	1	yes	characteristic
327	C₇×#121	C₂³	1	1	yes	characteristic
328	C₇×#121	C₂³	1	1	yes	characteristic
329	C₇×#121	C₂³	1	1	yes	characteristic
330	C₇×#121	C₂³	1	1	yes	characteristic
331	C₇×#121	C₂³	1	1	yes	characteristic
332	C₇×#120	—	2	1	no	—
333	C₇×#120	—	2	1	no	—
334	C₇×#120	—	2	1	no	—
335	C₇×#120	—	2	1	no	—
336	C₄×C₇×Q₈	—	2	1	no	—
337	C₄×C₇×Q₈	—	2	1	no	—
338	C₄×C₇×Q₈	—	2	1	no	—
339	C₄×C₇×Q₈	—	2	1	no	—
340	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
341	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
342	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
343	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
344	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
345	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
346	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
347	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
348	C₄×C₇×D₄	—	2	1	no	—
349	C₄×C₇×D₄	—	2	1	no	—
350	C₄×C₇×D₄	—	2	1	no	—
351	C₄×C₇×D₄	—	2	1	no	—
352	C₄×C₇×D₄	—	2	1	no	—
353	C₄×C₇×D₄	—	2	1	no	—
354	C₄×C₇×D₄	—	2	1	no	—
355	C₄×C₇×D₄	—	2	1	no	—
356	C₄×C₇×D₄	—	2	1	no	—
357	C₄×C₇×D₄	—	2	1	no	—
358	C₄×C₇×D₄	—	2	1	no	—
359	C₄×C₇×D₄	—	2	1	no	—
360	C₄×C₇×D₄	—	2	1	no	—
361	C₄×C₇×D₄	—	2	1	no	—
362	C₄×C₇×D₄	—	2	1	no	—
363	C₄×C₇×D₄	—	2	1	no	—
364	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
365	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
366	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
367	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
368	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
369	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
370	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
371	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
372	C₇×#117	—	2	1	no	—
373	C₇×#117	—	2	1	no	—
374	C₇×#117	—	2	1	no	—
375	C₇×#117	—	2	1	no	—
376	C₇×#117	—	2	1	no	—
377	C₇×#117	—	2	1	no	—
378	C₇×#117	—	2	1	no	—
379	C₇×#117	—	2	1	no	—
380	C₇×#117	—	2	1	no	—
381	C₇×#117	—	2	1	no	—
382	C₇×#117	D₄	1	1	yes	characteristic
383	C₇×#117	D₄	1	1	yes	characteristic
384	C₇×#117	D₄	1	1	yes	characteristic
385	C₇×#117	D₄	1	1	yes	characteristic
386	C₇×#117	C₂³	1	1	yes	characteristic
387	C₇×#117	C₂³	1	1	yes	characteristic
388	C₇×#117	C₂³	1	1	yes	characteristic
389	C₇×#117	C₂³	1	1	yes	characteristic
390	C₇×#117	C₂³	1	1	yes	characteristic
391	C₇×#117	C₂³	1	1	yes	characteristic
392	C₂×C₇×C₄⋊C₄	—	2	1	no	—
393	C₂×C₇×C₄⋊C₄	—	2	1	no	—
394	C₂×C₇×C₄⋊C₄	—	2	1	no	—
395	C₂×C₇×C₄⋊C₄	D₄	1	1	yes	characteristic
396	C₂×C₇×C₄⋊C₄	D₄	1	1	yes	characteristic
397	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
398	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
399	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
400	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
401	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
402	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
403	C₂×C₇×C₂²⋊C₄	D₄	1	1	yes	characteristic
404	C₂×C₇×C₂²⋊C₄	D₄	1	1	yes	characteristic
405	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
406	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
407	C₇×#107	C₂³	1	1	yes	characteristic
408	C₇×#107	C₂³	1	1	yes	characteristic
409	C₇×#107	C₂³	1	1	yes	characteristic
410	C₇×#107	C₂³	1	1	yes	characteristic
411	C₇×#107	C₂³	1	1	yes	characteristic
412	C₇×#107	C₂³	1	1	yes	characteristic
413	C₇×#107	C₂³	1	1	yes	characteristic
414	C₇×#107	C₂³	1	1	yes	characteristic
415	C₇×#107	C₂³	1	1	yes	characteristic
416	C₇×#107	C₂³	1	1	yes	characteristic
417	C₇×#106	C₂³	1	1	yes	characteristic
418	C₇×#106	C₂³	1	1	yes	characteristic
419	C₇×#106	C₂³	1	1	yes	characteristic
420	C₇×#106	C₂³	1	1	yes	characteristic
421	C₇×#106	C₂³	1	1	yes	characteristic
422	C₇×#106	C₂³	1	1	yes	characteristic
423	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
424	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
425	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
426	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
427	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
428	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
429	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
430	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
431	C₇×#103	C₂³	1	1	yes	characteristic
432	C₇×#103	C₂³	1	1	yes	characteristic
433	C₇×#103	C₂³	1	1	yes	characteristic
434	C₇×#103	C₂³	1	1	yes	characteristic
435	C₇×#103	C₂³	1	1	yes	characteristic
436	C₇×#103	C₂³	1	1	yes	characteristic
437	C₇×#103	C₂³	1	1	yes	characteristic
438	C₇×#103	C₂³	1	1	yes	characteristic
439	C₇×#103	C₂³	1	1	yes	characteristic
440	C₇×#103	C₂³	1	1	yes	characteristic
441	C₇×#103	C₂³	1	1	yes	characteristic
442	C₇×#103	C₂³	1	1	yes	characteristic
443	C₇×#103	C₂³	1	1	yes	characteristic
444	C₇×#103	C₂³	1	1	yes	characteristic
445	C₇×#103	C₂³	1	1	yes	characteristic
446	C₇×#103	C₂³	1	1	yes	characteristic
447	C₇×#102	C₂³	1	1	yes	characteristic
448	C₇×#102	C₂³	1	1	yes	characteristic
449	C₇×#102	C₂³	1	1	yes	characteristic
450	C₇×#102	C₂³	1	1	yes	characteristic
451	C₇×#102	C₂³	1	1	yes	characteristic
452	C₇×#102	C₂³	1	1	yes	characteristic
453	C₇×#102	C₂³	1	1	yes	characteristic
454	C₇×#102	C₂³	1	1	yes	characteristic
455	C₇×#102	C₂³	1	1	yes	characteristic
456	C₇×#102	C₂³	1	1	yes	characteristic
457	C₇×#102	C₂³	1	1	yes	characteristic
458	C₇×#102	C₂³	1	1	yes	characteristic
459	C₇×#102	C₂³	1	1	yes	characteristic
460	C₇×#102	C₂³	1	1	yes	characteristic
461	C₇×#102	C₂³	1	1	yes	characteristic
462	C₇×#102	C₂³	1	1	yes	characteristic
463	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
464	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
465	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
466	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
467	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
468	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
469	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
470	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
471	C₇×#97	C₂³	1	1	yes	characteristic
472	C₇×#97	C₂³	1	1	yes	characteristic
473	C₇×#97	C₂³	1	1	yes	characteristic
474	C₇×#97	C₂³	1	1	yes	characteristic
475	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
476	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
477	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
478	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
479	#3495	C₂×C₇	1	1	yes	characteristic, complemented
480	#3494	C₂×C₇	1	1	yes	characteristic, complemented
481	#3256	C₂×C₇	1	1	yes	characteristic, complemented
482	#3254	C₂×C₇	1	1	yes	characteristic, complemented
483	#3252	C₂×C₇	1	1	yes	characteristic, complemented
484	#3251	C₂×C₇	1	1	yes	characteristic, complemented
485	#3243	C₂×C₇	1	1	yes	characteristic, complemented
486	#3243	C₂×C₇	1	1	yes	characteristic, complemented
487	#3242	C₂×C₇	1	1	yes	characteristic, complemented
488	#3241	C₂×C₇	1	1	yes	characteristic, complemented
489	#3225	C₂×C₇	1	1	yes	characteristic, complemented
490	#3224	C₂×C₇	1	1	yes	characteristic, complemented
491	#3222	C₂×C₇	1	1	yes	characteristic, complemented
492	#3221	C₂×C₇	1	1	yes	characteristic, complemented
493	#3197	C₂×C₇	1	1	yes	characteristic, complemented
494	#3196	C₂×C₇	1	1	yes	characteristic, complemented
495	#3194	C₂×C₇	1	1	yes	characteristic, complemented
496	#3193	C₂×C₇	1	1	yes	characteristic, complemented
497	#3183	C₂×C₇	1	1	yes	characteristic, complemented
498	#3182	C₂×C₇	1	1	yes	characteristic, complemented
499	#3172	C₂×C₇	1	1	yes	characteristic, complemented
500	#3171	C₂×C₇	1	1	yes	characteristic, complemented
501	#3126	C₂×C₇	1	1	yes	characteristic, complemented
502	#3124	C₂×C₇	1	1	yes	characteristic, complemented
503	#3124	C₂×C₇	1	1	yes	characteristic, complemented
504	#3123	C₂×C₇	1	1	yes	characteristic, complemented
505	#3121	C₂×C₇	1	1	yes	characteristic, complemented
506	#3120	C₂×C₇	1	1	yes	characteristic, complemented
507	#3119	C₂×C₇	1	1	yes	characteristic, complemented
508	#3118	C₂×C₇	1	1	yes	characteristic, complemented
509	#2921	C₂×C₇	1	1	yes	characteristic, complemented
510	C₂⁴×C₇	—	2	1	no	—
511	C₂⁴×C₇	C₂×D₄	1	1	yes	characteristic
512	C₇×#41	—	4	1	no	—
513	C₇×#41	—	4	1	no	—
514	C₇×#41	—	4	1	no	—
515	C₇×#41	—	4	1	no	—
516	C₇×#41	—	8	2	no	—
517	C₇×#41	—	8	2	no	—
518	C₂×C₇×Q₈	—	2	1	no	—
519	C₂×C₇×Q₈	—	2	1	no	—
520	C₂×C₇×Q₈	—	2	1	no	—
521	C₂×C₇×Q₈	—	2	1	no	—
522	C₂×C₇×Q₈	—	2	1	no	—
523	C₂×C₇×Q₈	—	4	1	no	—
524	C₂×C₇×Q₈	—	4	1	no	—
525	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
526	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
527	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
528	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
529	C₂×C₇×D₄	—	2	1	no	—
530	C₂×C₇×D₄	—	2	1	no	—
531	C₂×C₇×D₄	—	2	1	no	—
532	C₂×C₇×D₄	—	2	1	no	—
533	C₂×C₇×D₄	—	2	1	no	—
534	C₂×C₇×D₄	—	2	1	no	—
535	C₂×C₇×D₄	—	2	1	no	—
536	C₂×C₇×D₄	—	2	1	no	—
537	C₂×C₇×D₄	—	2	1	no	—
538	C₂×C₇×D₄	—	2	1	no	—
539	C₂×C₇×D₄	—	2	1	no	—
540	C₂×C₇×D₄	—	2	1	no	—
541	C₂×C₇×D₄	—	2	1	no	—
542	C₂×C₇×D₄	—	2	1	no	—
543	C₂×C₇×D₄	—	2	1	no	—
544	C₂×C₇×D₄	—	4	1	no	—
545	C₂×C₇×D₄	—	4	1	no	—
546	C₂×C₇×D₄	—	8	2	no	—
547	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
548	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
549	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
550	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
551	C₂²×C₄×C₇	—	2	1	no	—
552	C₂²×C₄×C₇	—	2	1	no	—
553	C₂²×C₄×C₇	—	2	1	no	—
554	C₂²×C₄×C₇	—	2	1	no	—
555	C₂²×C₄×C₇	—	2	1	no	—
556	C₂²×C₄×C₇	—	2	1	no	—
557	C₂²×C₄×C₇	—	2	1	no	—
558	C₂²×C₄×C₇	—	2	1	no	—
559	C₂²×C₄×C₇	—	2	1	no	—
560	C₂²×C₄×C₇	—	2	1	no	—
561	C₂²×C₄×C₇	—	2	1	no	—
562	C₂²×C₄×C₇	—	2	1	no	—
563	C₂²×C₄×C₇	—	2	1	no	—
564	C₂²×C₄×C₇	—	4	1	no	—
565	C₂²×C₄×C₇	—	4	1	no	—
566	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
567	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
568	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
569	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
570	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
571	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
572	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
573	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
574	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
575	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
576	C₇×Q₁₆	—	4	1	no	—
577	C₇×Q₁₆	—	4	1	no	—
578	C₇×Q₁₆	—	4	1	no	—
579	C₇×SD₁₆	—	4	1	no	—
580	C₇×SD₁₆	—	4	1	no	—
581	C₇×SD₁₆	—	4	1	no	—
582	C₇×SD₁₆	—	4	1	no	—
583	C₇×SD₁₆	—	4	1	no	—
584	C₇×SD₁₆	—	4	1	no	—
585	C₇×SD₁₆	—	4	1	no	—
586	C₇×SD₁₆	—	4	1	no	—
587	C₇×SD₁₆	—	4	1	no	—
588	C₇×SD₁₆	—	4	1	no	—
589	C₇×D₈	—	4	1	no	—
590	C₇×D₈	—	4	1	no	—
591	C₇×D₈	—	4	1	no	—
592	C₇×M₁₆	—	4	1	no	—
593	C₇×M₁₆	—	4	1	no	—
594	C₇×M₁₆	—	4	1	no	—
595	C₇×M₁₆	—	4	1	no	—
596	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
597	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
598	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
599	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
600	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
601	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
602	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
603	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
604	C₇×C₄⋊C₄	—	2	1	no	—
605	C₇×C₄⋊C₄	—	2	1	no	—
606	C₇×C₄⋊C₄	—	2	1	no	—
607	C₇×C₄⋊C₄	—	2	1	no	—
608	C₇×C₄⋊C₄	—	2	1	no	—
609	C₇×C₄⋊C₄	—	2	1	no	—
610	C₇×C₄⋊C₄	—	2	1	no	—
611	C₇×C₄⋊C₄	—	2	1	no	—
612	C₇×C₄⋊C₄	—	2	1	no	—
613	C₇×C₄⋊C₄	—	2	1	no	—
614	C₇×C₄⋊C₄	—	2	1	no	—
615	C₇×C₄⋊C₄	—	2	1	no	—
616	C₇×C₄⋊C₄	—	2	1	no	—
617	C₇×C₄⋊C₄	—	2	1	no	—
618	C₇×C₄⋊C₄	—	2	1	no	—
619	C₇×C₄⋊C₄	—	2	1	no	—
620	C₇×C₄⋊C₄	—	2	1	no	—
621	C₇×C₄⋊C₄	—	2	1	no	—
622	C₇×C₄⋊C₄	—	2	1	no	—
623	C₇×C₄⋊C₄	—	2	1	no	—
624	C₇×C₄⋊C₄	—	2	1	no	—
625	C₇×C₄⋊C₄	—	2	1	no	—
626	C₇×C₄⋊C₄	—	2	1	no	—
627	C₇×C₄⋊C₄	—	2	1	no	—
628	C₇×C₄⋊C₄	—	2	1	no	—
629	C₇×C₄⋊C₄	—	2	1	no	—
630	C₇×C₄⋊C₄	—	2	1	no	—
631	C₇×C₄⋊C₄	—	2	1	no	—
632	C₇×C₄⋊C₄	—	2	1	no	—
633	C₇×C₄⋊C₄	—	2	1	no	—
634	C₇×C₄⋊C₄	—	2	1	no	—
635	C₇×C₄⋊C₄	—	2	1	no	—
636	C₇×C₄⋊C₄	—	2	1	no	—
637	C₇×C₄⋊C₄	—	2	1	no	—
638	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
639	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
640	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
641	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
642	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
643	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
644	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
645	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
646	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
647	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
648	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
649	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
650	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
651	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
652	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
653	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
654	C₇×C₂²⋊C₄	—	2	1	no	—
655	C₇×C₂²⋊C₄	—	2	1	no	—
656	C₇×C₂²⋊C₄	—	2	1	no	—
657	C₇×C₂²⋊C₄	—	2	1	no	—
658	C₇×C₂²⋊C₄	—	2	1	no	—
659	C₇×C₂²⋊C₄	—	2	1	no	—
660	C₇×C₂²⋊C₄	—	2	1	no	—
661	C₇×C₂²⋊C₄	—	2	1	no	—
662	C₇×C₂²⋊C₄	—	2	1	no	—
663	C₇×C₂²⋊C₄	—	2	1	no	—
664	C₇×C₂²⋊C₄	—	2	1	no	—
665	C₇×C₂²⋊C₄	—	2	1	no	—
666	C₇×C₂²⋊C₄	—	2	1	no	—
667	C₇×C₂²⋊C₄	—	2	1	no	—
668	C₇×C₂²⋊C₄	—	2	1	no	—
669	C₇×C₂²⋊C₄	—	2	1	no	—
670	C₇×C₂²⋊C₄	—	2	1	no	—
671	C₇×C₂²⋊C₄	—	2	1	no	—
672	C₇×C₂²⋊C₄	—	2	1	no	—
673	C₇×C₂²⋊C₄	—	2	1	no	—
674	C₇×C₂²⋊C₄	—	2	1	no	—
675	C₇×C₂²⋊C₄	—	2	1	no	—
676	C₇×C₂²⋊C₄	—	2	1	no	—
677	C₇×C₂²⋊C₄	—	2	1	no	—
678	C₇×C₂²⋊C₄	—	2	1	no	—
679	C₇×C₂²⋊C₄	—	2	1	no	—
680	C₇×C₂²⋊C₄	—	2	1	no	—
681	C₇×C₂²⋊C₄	—	2	1	no	—
682	C₇×C₂²⋊C₄	—	2	1	no	—
683	C₇×C₂²⋊C₄	—	2	1	no	—
684	C₇×C₂²⋊C₄	—	2	1	no	—
685	C₇×C₂²⋊C₄	—	2	1	no	—
686	C₇×C₂²⋊C₄	—	2	1	no	—
687	C₇×C₂²⋊C₄	—	2	1	no	—
688	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
689	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
690	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
691	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
692	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
693	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
694	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
695	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
696	C₄²×C₇	—	2	1	no	—
697	C₄²×C₇	—	2	1	no	—
698	C₄²×C₇	—	2	1	no	—
699	C₄²×C₇	—	2	1	no	—
700	C₄²×C₇	—	2	1	no	—
701	C₄²×C₇	—	2	1	no	—
702	C₄²×C₇	—	2	1	no	—
703	C₄²×C₇	—	2	1	no	—
704	C₄²×C₇	—	2	1	no	—
705	C₄²×C₇	—	2	1	no	—
706	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
707	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
708	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
709	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
710	C₄²×C₇	C₂⁴	1	1	yes	characteristic
711	C₄²×C₇	C₂⁴	1	1	yes	characteristic
712	C₄²×C₇	C₂⁴	1	1	yes	characteristic
713	C₄²×C₇	C₂⁴	1	1	yes	characteristic
714	#556	—	2	1	no	—
715	#555	—	2	1	no	—
716	#554	—	2	1	no	—
717	#553	—	2	1	no	—
718	#553	—	2	1	no	—
719	#552	—	2	1	no	—
720	#552	—	2	1	no	—
721	#552	—	2	1	no	—
722	#552	—	2	1	no	—
723	#551	—	2	1	no	—
724	#551	—	2	1	no	—
725	#551	—	2	1	no	—
726	#551	—	2	1	no	—
727	#547	—	2	1	no	—
728	#546	—	2	1	no	—
729	#546	—	2	1	no	—
730	#544	C₂²×C₇	1	1	yes	characteristic
731	#544	C₂²×C₇	1	1	yes	characteristic, complemented
732	#542	C₂²×C₇	1	1	yes	characteristic
733	#542	C₂²×C₇	1	1	yes	characteristic
734	#542	C₂²×C₇	1	1	yes	characteristic
735	#542	C₂²×C₇	1	1	yes	characteristic
736	#541	C₂²×C₇	1	1	yes	characteristic
737	#541	C₂²×C₇	1	1	yes	characteristic
738	#540	C₂²×C₇	1	1	yes	characteristic
739	#540	C₂²×C₇	1	1	yes	characteristic
740	#536	C₂²×C₇	1	1	yes	characteristic, complemented
741	#535	C₂²×C₇	1	1	yes	characteristic
742	#533	C₂²×C₇	1	1	yes	characteristic, complemented
743	#533	C₂²×C₇	1	1	yes	characteristic, complemented
744	#532	C₂²×C₇	1	1	yes	characteristic
745	#532	C₂²×C₇	1	1	yes	characteristic
746	#529	C₂²×C₇	1	1	yes	characteristic
747	#529	C₂²×C₇	1	1	yes	characteristic
748	#529	C₂²×C₇	1	1	yes	characteristic, complemented
749	#529	C₂²×C₇	1	1	yes	characteristic, complemented
750	#525	C₂²×C₇	1	1	yes	characteristic
751	#525	C₂²×C₇	1	1	yes	characteristic
752	C₂×C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic
753	C₂×#121	C₂²×C₇	1	1	yes	characteristic
754	#520	C₂²×C₇	1	1	yes	characteristic
755	#520	C₂²×C₇	1	1	yes	characteristic, complemented
756	#519	C₂²×C₇	1	1	yes	characteristic, complemented
757	#518	C₂²×C₇	1	1	yes	characteristic
758	C₂×#117	C₂²×C₇	1	1	yes	characteristic
759	#501	C₂²×C₇	1	1	yes	characteristic, complemented
760	#501	C₂²×C₇	1	1	yes	characteristic, complemented
761	#500	C₂²×C₇	1	1	yes	characteristic, complemented
762	#499	C₂²×C₇	1	1	yes	characteristic, complemented
763	#497	C₂²×C₇	1	1	yes	characteristic, complemented
764	#496	C₂²×C₇	1	1	yes	characteristic, complemented
765	#495	C₂²×C₇	1	1	yes	characteristic, complemented
766	#492	C₂²×C₇	1	1	yes	characteristic, complemented
767	#491	C₂²×C₇	1	1	yes	characteristic, complemented
768	#490	C₂²×C₇	1	1	yes	characteristic, complemented
769	#489	C₂²×C₇	1	1	yes	characteristic, complemented
770	#489	C₂²×C₇	1	1	yes	characteristic, complemented
771	#488	C₂²×C₇	1	1	yes	characteristic, complemented
772	#488	C₂²×C₇	1	1	yes	characteristic, complemented
773	#487	C₂²×C₇	1	1	yes	characteristic, complemented
774	#486	C₂²×C₇	1	1	yes	characteristic, complemented
775	#485	C₂²×C₇	1	1	yes	characteristic
776	#485	C₂²×C₇	1	1	yes	characteristic
777	#485	C₂²×C₇	1	1	yes	characteristic
778	#485	C₂²×C₇	1	1	yes	characteristic, complemented
779	#484	C₂²×C₇	1	1	yes	characteristic
780	#484	C₂²×C₇	1	1	yes	characteristic
781	#484	C₂²×C₇	1	1	yes	characteristic, complemented
782	#483	C₂²×C₇	1	1	yes	characteristic
783	#482	C₂²×C₇	1	1	yes	characteristic
784	#482	C₂²×C₇	1	1	yes	characteristic
785	#482	C₂²×C₇	1	1	yes	characteristic
786	#482	C₂²×C₇	1	1	yes	characteristic, complemented
787	#481	C₂²×C₇	1	1	yes	characteristic, complemented
788	#480	C₂²×C₇	1	1	yes	characteristic
789	#480	C₂²×C₇	1	1	yes	characteristic
790	#480	C₂²×C₇	1	1	yes	characteristic
791	#479	C₂²×C₇	1	1	yes	characteristic, complemented
792	#479	C₂²×C₇	1	1	yes	characteristic, complemented
793	#479	C₂²×C₇	1	1	yes	characteristic, complemented
794	#479	C₂²×C₇	1	1	yes	characteristic, complemented
795	#478	C₂²×C₇	1	1	yes	characteristic, complemented
796	#478	C₂²×C₇	1	1	yes	characteristic, complemented
797	#478	C₂²×C₇	1	1	yes	characteristic, complemented
798	#478	C₂²×C₇	1	1	yes	characteristic, complemented
799	#477	C₂²×C₇	1	1	yes	characteristic, complemented
800	#477	C₂²×C₇	1	1	yes	characteristic, complemented
801	#477	C₂²×C₇	1	1	yes	characteristic, complemented
802	#476	C₂²×C₇	1	1	yes	characteristic, complemented
803	#475	C₂²×C₇	1	1	yes	characteristic, complemented
804	#474	C₂²×C₇	1	1	yes	characteristic, complemented
805	#474	C₂²×C₇	1	1	yes	characteristic, complemented
806	#474	C₂²×C₇	1	1	yes	characteristic, complemented
807	#470	C₂²×C₇	1	1	yes	characteristic, complemented
808	#470	C₂²×C₇	1	1	yes	characteristic, complemented
809	#470	C₂²×C₇	1	1	yes	characteristic, complemented
810	#469	C₂²×C₇	1	1	yes	characteristic
811	#469	C₂²×C₇	1	1	yes	characteristic
812	#469	C₂²×C₇	1	1	yes	characteristic, complemented
813	#468	C₂²×C₇	1	1	yes	characteristic
814	#468	C₂²×C₇	1	1	yes	characteristic
815	#468	C₂²×C₇	1	1	yes	characteristic
816	#468	C₂²×C₇	1	1	yes	characteristic
817	#468	C₂²×C₇	1	1	yes	characteristic
818	#468	C₂²×C₇	1	1	yes	characteristic
819	#468	C₂²×C₇	1	1	yes	characteristic, complemented
820	#468	C₂²×C₇	1	1	yes	characteristic, complemented
821	#468	C₂²×C₇	1	1	yes	characteristic, complemented
822	#468	C₂²×C₇	1	1	yes	characteristic, complemented
823	#464	C₂²×C₇	1	1	yes	characteristic, complemented
824	#464	C₂²×C₇	1	1	yes	characteristic, complemented
825	#464	C₂²×C₇	1	1	yes	characteristic, complemented
826	#464	C₂²×C₇	1	1	yes	characteristic, complemented
827	#463	C₂²×C₇	1	1	yes	characteristic, complemented
828	#463	C₂²×C₇	1	1	yes	characteristic, complemented
829	#463	C₂²×C₇	1	1	yes	characteristic, complemented
830	#463	C₂²×C₇	1	1	yes	characteristic, complemented
831	#462	C₂²×C₇	1	1	yes	characteristic, complemented
832	#461	C₂²×C₇	1	1	yes	characteristic, complemented
833	#461	C₂²×C₇	1	1	yes	characteristic, complemented
834	#461	C₂²×C₇	1	1	yes	characteristic, complemented
835	#460	C₂²×C₇	1	1	yes	characteristic, complemented
836	#460	C₂²×C₇	1	1	yes	characteristic, complemented
837	#460	C₂²×C₇	1	1	yes	characteristic, complemented
838	#459	C₂²×C₇	1	1	yes	characteristic, complemented
839	#452	C₂²×C₇	1	1	yes	characteristic
840	#452	C₂²×C₇	1	1	yes	characteristic
841	#452	C₂²×C₇	1	1	yes	characteristic
842	#452	C₂²×C₇	1	1	yes	characteristic, complemented
843	#451	C₂²×C₇	1	1	yes	characteristic, complemented
844	#450	C₂²×C₇	1	1	yes	characteristic
845	#450	C₂²×C₇	1	1	yes	characteristic
846	#450	C₂²×C₇	1	1	yes	characteristic
847	#449	C₂²×C₇	1	1	yes	characteristic
848	#449	C₂²×C₇	1	1	yes	characteristic
849	#449	C₂²×C₇	1	1	yes	characteristic
850	#449	C₂²×C₇	1	1	yes	characteristic, complemented
851	#448	C₂²×C₇	1	1	yes	characteristic
852	#448	C₂²×C₇	1	1	yes	characteristic
853	#448	C₂²×C₇	1	1	yes	characteristic, complemented
854	#447	C₂²×C₇	1	1	yes	characteristic
855	#442	C₂²×C₇	1	1	yes	characteristic, complemented
856	#441	C₂²×C₇	1	1	yes	characteristic, complemented
857	#440	C₂²×C₇	1	1	yes	characteristic, complemented
858	#440	C₂²×C₇	1	1	yes	characteristic, complemented
859	#440	C₂²×C₇	1	1	yes	characteristic, complemented
860	#440	C₂²×C₇	1	1	yes	characteristic, complemented
861	#440	C₂²×C₇	1	1	yes	characteristic, complemented
862	#440	C₂²×C₇	1	1	yes	characteristic, complemented
863	C₄×Q₁₆	C₂²×C₇	1	1	yes	characteristic, complemented
864	C₄×Q₁₆	C₂²×C₇	1	1	yes	characteristic, complemented
865	C₄×SD₁₆	C₂²×C₇	1	1	yes	characteristic, complemented
866	C₄×SD₁₆	C₂²×C₇	1	1	yes	characteristic, complemented
867	C₄×SD₁₆	C₂²×C₇	1	1	yes	characteristic, complemented
868	C₄×SD₁₆	C₂²×C₇	1	1	yes	characteristic, complemented
869	C₄×D₈	C₂²×C₇	1	1	yes	characteristic, complemented
870	C₄×D₈	C₂²×C₇	1	1	yes	characteristic, complemented
871	#433	C₂²×C₇	1	1	yes	characteristic
872	#433	C₂²×C₇	1	1	yes	characteristic
873	#433	C₂²×C₇	1	1	yes	characteristic
874	#433	C₂²×C₇	1	1	yes	characteristic
875	#433	C₂²×C₇	1	1	yes	characteristic, complemented
876	#433	C₂²×C₇	1	1	yes	characteristic, complemented
877	#433	C₂²×C₇	1	1	yes	characteristic, complemented
878	#433	C₂²×C₇	1	1	yes	characteristic, complemented
879	#423	C₂²×C₇	1	1	yes	characteristic, complemented
880	#423	C₂²×C₇	1	1	yes	characteristic, complemented
881	#407	C₂²×C₇	1	1	yes	characteristic
882	#407	C₂²×C₇	1	1	yes	characteristic
883	C₄×M₁₆	C₂²×C₇	1	1	yes	characteristic, complemented
884	C₄×M₁₆	C₂²×C₇	1	1	yes	characteristic, complemented
885	C₂³×C₇	—	2	1	no	—
886	C₂³×C₇	—	2	1	no	—
887	C₂³×C₇	—	2	1	no	—
888	C₂³×C₇	—	2	1	no	—
889	C₂³×C₇	—	4	1	no	—
890	C₂³×C₇	—	4	1	no	—
891	C₂³×C₇	—	4	1	no	—
892	C₂³×C₇	—	4	2	no	—
893	C₂³×C₇	—	8	1	no	—
894	C₂³×C₇	—	8	1	no	—
895	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
896	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
897	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
898	C₇×Q₈	—	2	1	no	—
899	C₇×Q₈	—	2	1	no	—
900	C₇×Q₈	—	2	1	no	—
901	C₇×Q₈	—	2	1	no	—
902	C₇×Q₈	—	2	1	no	—
903	C₇×Q₈	—	2	1	no	—
904	C₇×Q₈	—	2	1	no	—
905	C₇×Q₈	—	2	1	no	—
906	C₇×Q₈	—	4	2	no	—
907	C₇×Q₈	—	8	1	no	—
908	C₇×Q₈	—	8	1	no	—
909	C₇×Q₈	—	8	1	no	—
910	C₇×Q₈	—	8	1	no	—
911	C₇×D₄	—	2	1	no	—
912	C₇×D₄	—	2	1	no	—
913	C₇×D₄	—	2	1	no	—
914	C₇×D₄	—	2	1	no	—
915	C₇×D₄	—	2	1	no	—
916	C₇×D₄	—	2	1	no	—
917	C₇×D₄	—	2	1	no	—
918	C₇×D₄	—	2	1	no	—
919	C₇×D₄	—	4	2	no	—
920	C₇×D₄	—	4	2	no	—
921	C₇×D₄	—	4	2	no	—
922	C₇×D₄	—	4	2	no	—
923	C₇×D₄	—	4	2	no	—
924	C₇×D₄	—	4	2	no	—
925	C₇×D₄	—	4	2	no	—
926	C₇×D₄	—	8	1	no	—
927	C₇×D₄	—	8	1	no	—
928	C₇×D₄	—	8	1	no	—
929	C₇×D₄	—	8	1	no	—
930	C₇×D₄	—	8	1	no	—
931	C₇×D₄	—	8	1	no	—
932	C₇×D₄	—	8	1	no	—
933	C₇×D₄	—	8	1	no	—
934	C₂×C₄×C₇	—	2	1	no	—
935	C₂×C₄×C₇	—	2	1	no	—
936	C₂×C₄×C₇	—	2	1	no	—
937	C₂×C₄×C₇	—	2	1	no	—
938	C₂×C₄×C₇	—	2	1	no	—
939	C₂×C₄×C₇	—	2	1	no	—
940	C₂×C₄×C₇	—	2	1	no	—
941	C₂×C₄×C₇	—	2	1	no	—
942	C₂×C₄×C₇	—	2	1	no	—
943	C₂×C₄×C₇	—	2	1	no	—
944	C₂×C₄×C₇	—	2	1	no	—
945	C₂×C₄×C₇	—	2	1	no	—
946	C₂×C₄×C₇	—	2	1	no	—
947	C₂×C₄×C₇	—	2	1	no	—
948	C₂×C₄×C₇	—	2	1	no	—
949	C₂×C₄×C₇	—	2	1	no	—
950	C₂×C₄×C₇	—	2	1	no	—
951	C₂×C₄×C₇	—	2	1	no	—
952	C₂×C₄×C₇	—	4	1	no	—
953	C₂×C₄×C₇	—	4	1	no	—
954	C₂×C₄×C₇	—	4	1	no	—
955	C₂×C₄×C₇	—	4	1	no	—
956	C₂×C₄×C₇	—	4	1	no	—
957	C₂×C₄×C₇	—	4	1	no	—
958	C₂×C₄×C₇	—	4	1	no	—
959	C₂×C₄×C₇	—	4	2	no	—
960	C₂×C₄×C₇	—	4	2	no	—
961	C₂×C₄×C₇	—	4	2	no	—
962	C₂×C₄×C₇	—	8	1	no	—
963	C₂×C₄×C₇	—	8	1	no	—
964	C₂×C₄×C₇	—	8	1	no	—
965	C₂×C₄×C₇	—	8	1	no	—
966	C₂×C₄×C₇	—	8	1	no	—
967	C₂×C₄×C₇	—	8	1	no	—
968	C₂×C₄×C₇	—	8	1	no	—
969	C₂×C₄×C₇	—	8	1	no	—
970	C₂×C₄×C₇	—	8	1	no	—
971	C₂×C₄×C₇	—	8	1	no	—
972	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
973	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
974	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
975	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
976	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
977	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
978	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
979	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
980	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
981	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
982	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
983	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
984	C₇×C₈	—	2	1	no	—
985	C₇×C₈	—	2	1	no	—
986	C₇×C₈	—	2	1	no	—
987	C₇×C₈	—	2	1	no	—
988	C₇×C₈	—	2	1	no	—
989	C₇×C₈	—	2	1	no	—
990	C₇×C₈	—	2	1	no	—
991	C₇×C₈	—	2	1	no	—
992	C₂×#41	—	2	1	no	—
993	C₂×#41	—	2	1	no	—
994	C₂×#41	C₂³×C₇	1	1	yes	characteristic
995	C₂×#41	C₂³×C₇	1	1	yes	characteristic
996	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
997	C₂²×D₄	—	2	1	no	—
998	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
999	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
1000	C₂×Q₁₆	C₂³×C₇	1	1	yes	characteristic
1001	C₂×Q₁₆	C₂³×C₇	1	1	yes	characteristic
1002	C₂×Q₁₆	C₂³×C₇	1	1	yes	characteristic
1003	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1004	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1005	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1006	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1007	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1008	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1009	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1010	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1011	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1012	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1013	C₂×D₈	C₂³×C₇	1	1	yes	characteristic
1014	C₂×D₈	C₂³×C₇	1	1	yes	characteristic
1015	C₂×D₈	C₂³×C₇	1	1	yes	characteristic
1016	C₂×M₁₆	C₂³×C₇	1	1	yes	characteristic
1017	C₂×M₁₆	C₂³×C₇	1	1	yes	characteristic
1018	C₂×M₁₆	C₂³×C₇	1	1	yes	characteristic
1019	C₂×M₁₆	C₂³×C₇	1	1	yes	characteristic
1020	C₄⋊Q₈	—	2	1	no	—
1021	C₄⋊Q₈	—	2	1	no	—
1022	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1023	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1024	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1025	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1026	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1027	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1028	#127	C₂³×C₇	1	1	yes	characteristic
1029	#127	C₂³×C₇	1	1	yes	characteristic
1030	#126	—	2	1	no	—
1031	#126	—	2	1	no	—
1032	#126	—	2	1	no	—
1033	#126	—	2	1	no	—
1034	#126	—	2	1	no	—
1035	#126	—	2	1	no	—
1036	#126	—	2	1	no	—
1037	#126	—	2	1	no	—
1038	#126	—	2	1	no	—
1039	#126	—	2	1	no	—
1040	#126	—	2	1	no	—
1041	#126	—	2	1	no	—
1042	#125	—	2	1	no	—
1043	#125	—	2	1	no	—
1044	#125	—	2	1	no	—
1045	#125	—	2	1	no	—
1046	#125	—	2	1	no	—
1047	#125	—	2	1	no	—
1048	#125	—	2	1	no	—
1049	#125	—	2	1	no	—
1050	#125	C₂³×C₇	1	1	yes	characteristic
1051	#125	C₂³×C₇	1	1	yes	characteristic
1052	#125	C₂³×C₇	1	1	yes	characteristic
1053	#125	C₂³×C₇	1	1	yes	characteristic
1054	#124	—	2	1	no	—
1055	#124	—	2	1	no	—
1056	#124	—	2	1	no	—
1057	#124	—	2	1	no	—
1058	#124	—	2	1	no	—
1059	#124	—	2	1	no	—
1060	#124	C₂³×C₇	1	1	yes	characteristic
1061	#124	C₂³×C₇	1	1	yes	characteristic
1062	#124	C₂³×C₇	1	1	yes	characteristic
1063	#124	C₂³×C₇	1	1	yes	characteristic
1064	#123	—	2	1	no	—
1065	#123	—	2	1	no	—
1066	#123	—	2	1	no	—
1067	#123	—	2	1	no	—
1068	#123	—	2	1	no	—
1069	#123	—	2	1	no	—
1070	#123	—	2	1	no	—
1071	#123	—	2	1	no	—
1072	#123	—	2	1	no	—
1073	#123	—	2	1	no	—
1074	#123	—	2	1	no	—
1075	#123	—	2	1	no	—
1076	#123	—	2	1	no	—
1077	#123	—	2	1	no	—
1078	#123	—	2	1	no	—
1079	#123	—	2	1	no	—
1080	C₂²⋊Q₈	—	2	1	no	—
1081	C₂²⋊Q₈	—	2	1	no	—
1082	C₂²⋊Q₈	—	2	1	no	—
1083	C₂²⋊Q₈	—	2	1	no	—
1084	C₂²⋊Q₈	—	2	1	no	—
1085	C₂²⋊Q₈	—	2	1	no	—
1086	C₂²⋊Q₈	—	2	1	no	—
1087	C₂²⋊Q₈	—	2	1	no	—
1088	C₂²⋊Q₈	—	2	1	no	—
1089	C₂²⋊Q₈	—	2	1	no	—
1090	C₂²⋊Q₈	—	2	1	no	—
1091	C₂²⋊Q₈	—	2	1	no	—
1092	C₂²⋊Q₈	—	2	1	no	—
1093	C₂²⋊Q₈	—	2	1	no	—
1094	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1095	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1096	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1097	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1098	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1099	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1100	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1101	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1102	#121	—	2	1	no	—
1103	#121	—	2	1	no	—
1104	#121	—	2	1	no	—
1105	#121	—	2	1	no	—
1106	#121	—	2	1	no	—
1107	#121	—	2	1	no	—
1108	#121	—	2	1	no	—
1109	#121	—	2	1	no	—
1110	#121	—	2	1	no	—
1111	#121	—	2	1	no	—
1112	#121	C₂³×C₇	1	1	yes	characteristic
1113	#121	C₂³×C₇	1	1	yes	characteristic
1114	#121	C₂³×C₇	1	1	yes	characteristic
1115	#121	C₂³×C₇	1	1	yes	characteristic
1116	#121	C₂³×C₇	1	1	yes	characteristic
1117	#121	C₂³×C₇	1	1	yes	characteristic
1118	#121	C₂³×C₇	1	1	yes	characteristic
1119	#121	C₂³×C₇	1	1	yes	characteristic
1120	#120	—	2	1	no	—
1121	#120	—	2	1	no	—
1122	#120	—	2	1	no	—
1123	#120	—	2	1	no	—
1124	C₄×Q₈	—	2	1	no	—
1125	C₄×Q₈	—	2	1	no	—
1126	C₄×Q₈	—	2	1	no	—
1127	C₄×Q₈	—	2	1	no	—
1128	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1129	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1130	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1131	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1132	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1133	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1134	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1135	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1136	C₄×D₄	—	2	1	no	—
1137	C₄×D₄	—	2	1	no	—
1138	C₄×D₄	—	2	1	no	—
1139	C₄×D₄	—	2	1	no	—
1140	C₄×D₄	—	2	1	no	—
1141	C₄×D₄	—	2	1	no	—
1142	C₄×D₄	—	2	1	no	—
1143	C₄×D₄	—	2	1	no	—
1144	C₄×D₄	—	2	1	no	—
1145	C₄×D₄	—	2	1	no	—
1146	C₄×D₄	—	2	1	no	—
1147	C₄×D₄	—	2	1	no	—
1148	C₄×D₄	—	2	1	no	—
1149	C₄×D₄	—	2	1	no	—
1150	C₄×D₄	—	2	1	no	—
1151	C₄×D₄	—	2	1	no	—
1152	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1153	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1154	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1155	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1156	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1157	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1158	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1159	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1160	#117	—	2	1	no	—
1161	#117	—	2	1	no	—
1162	#117	—	2	1	no	—
1163	#117	—	2	1	no	—
1164	#117	—	2	1	no	—
1165	#117	—	2	1	no	—
1166	#117	—	2	1	no	—
1167	#117	—	2	1	no	—
1168	#117	—	2	1	no	—
1169	#117	—	2	1	no	—
1170	#117	C₇×D₄	1	1	yes	characteristic
1171	#117	C₇×D₄	1	1	yes	characteristic
1172	#117	C₇×D₄	1	1	yes	characteristic
1173	#117	C₇×D₄	1	1	yes	characteristic
1174	#117	C₂³×C₇	1	1	yes	characteristic
1175	#117	C₂³×C₇	1	1	yes	characteristic
1176	#117	C₂³×C₇	1	1	yes	characteristic
1177	#117	C₂³×C₇	1	1	yes	characteristic
1178	#117	C₂³×C₇	1	1	yes	characteristic
1179	#117	C₂³×C₇	1	1	yes	characteristic
1180	C₂×C₄⋊C₄	—	2	1	no	—
1181	C₂×C₄⋊C₄	—	2	1	no	—
1182	C₂×C₄⋊C₄	—	2	1	no	—
1183	C₂×C₄⋊C₄	C₇×D₄	1	1	yes	characteristic
1184	C₂×C₄⋊C₄	C₇×D₄	1	1	yes	characteristic
1185	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1186	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1187	C₂×C₂²⋊C₄	—	2	1	no	—
1188	C₂×C₂²⋊C₄	—	2	1	no	—
1189	C₂×C₂²⋊C₄	—	2	1	no	—
1190	C₂×C₂²⋊C₄	—	2	1	no	—
1191	C₂×C₂²⋊C₄	C₇×D₄	1	1	yes	characteristic
1192	C₂×C₂²⋊C₄	C₇×D₄	1	1	yes	characteristic
1193	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1194	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1195	#107	C₂³×C₇	1	1	yes	characteristic
1196	#107	C₂³×C₇	1	1	yes	characteristic
1197	#107	C₂³×C₇	1	1	yes	characteristic
1198	#107	C₂³×C₇	1	1	yes	characteristic
1199	#107	C₂³×C₇	1	1	yes	characteristic
1200	#107	C₂³×C₇	1	1	yes	characteristic
1201	#107	C₂³×C₇	1	1	yes	characteristic
1202	#107	C₂³×C₇	1	1	yes	characteristic
1203	#107	C₂³×C₇	1	1	yes	characteristic
1204	#107	C₂³×C₇	1	1	yes	characteristic
1205	#106	C₂³×C₇	1	1	yes	characteristic
1206	#106	C₂³×C₇	1	1	yes	characteristic
1207	#106	C₂³×C₇	1	1	yes	characteristic
1208	#106	C₂³×C₇	1	1	yes	characteristic
1209	#106	C₂³×C₇	1	1	yes	characteristic
1210	#106	C₂³×C₇	1	1	yes	characteristic
1211	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1212	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1213	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1214	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1215	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1216	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1217	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1218	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1219	#103	C₂³×C₇	1	1	yes	characteristic
1220	#103	C₂³×C₇	1	1	yes	characteristic
1221	#103	C₂³×C₇	1	1	yes	characteristic
1222	#103	C₂³×C₇	1	1	yes	characteristic
1223	#103	C₂³×C₇	1	1	yes	characteristic
1224	#103	C₂³×C₇	1	1	yes	characteristic
1225	#103	C₂³×C₇	1	1	yes	characteristic
1226	#103	C₂³×C₇	1	1	yes	characteristic
1227	#103	C₂³×C₇	1	1	yes	characteristic
1228	#103	C₂³×C₇	1	1	yes	characteristic
1229	#103	C₂³×C₇	1	1	yes	characteristic
1230	#103	C₂³×C₇	1	1	yes	characteristic
1231	#103	C₂³×C₇	1	1	yes	characteristic
1232	#103	C₂³×C₇	1	1	yes	characteristic
1233	#103	C₂³×C₇	1	1	yes	characteristic
1234	#103	C₂³×C₇	1	1	yes	characteristic
1235	#102	C₂³×C₇	1	1	yes	characteristic
1236	#102	C₂³×C₇	1	1	yes	characteristic
1237	#102	C₂³×C₇	1	1	yes	characteristic
1238	#102	C₂³×C₇	1	1	yes	characteristic
1239	#102	C₂³×C₇	1	1	yes	characteristic
1240	#102	C₂³×C₇	1	1	yes	characteristic
1241	#102	C₂³×C₇	1	1	yes	characteristic
1242	#102	C₂³×C₇	1	1	yes	characteristic
1243	#102	C₂³×C₇	1	1	yes	characteristic
1244	#102	C₂³×C₇	1	1	yes	characteristic
1245	#102	C₂³×C₇	1	1	yes	characteristic
1246	#102	C₂³×C₇	1	1	yes	characteristic
1247	#102	C₂³×C₇	1	1	yes	characteristic
1248	#102	C₂³×C₇	1	1	yes	characteristic
1249	#102	C₂³×C₇	1	1	yes	characteristic
1250	#102	C₂³×C₇	1	1	yes	characteristic
1251	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1252	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1253	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1254	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1255	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1256	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1257	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1258	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1259	#97	C₂³×C₇	1	1	yes	characteristic
1260	#97	C₂³×C₇	1	1	yes	characteristic
1261	#97	C₂³×C₇	1	1	yes	characteristic
1262	#97	C₂³×C₇	1	1	yes	characteristic
1263	C₄×C₈	C₂³×C₇	1	1	yes	characteristic
1264	C₄×C₈	C₂³×C₇	1	1	yes	characteristic
1265	C₄×C₈	C₂³×C₇	1	1	yes	characteristic
1266	C₄×C₈	C₂³×C₇	1	1	yes	characteristic
1267	C₂²×C₇	—	2	1	no	—
1268	C₂²×C₇	—	2	1	no	—
1269	C₂²×C₇	—	2	1	no	—
1270	C₂²×C₇	—	2	1	no	—
1271	C₂²×C₇	—	2	1	no	—
1272	C₂²×C₇	—	2	1	no	—
1273	C₂²×C₇	—	2	1	no	—
1274	C₂²×C₇	—	2	1	no	—
1275	C₂²×C₇	—	2	1	no	—
1276	C₂²×C₇	—	4	1	no	—
1277	C₂²×C₇	—	4	1	no	—
1278	C₂²×C₇	—	4	1	no	—
1279	C₂²×C₇	—	4	1	no	—
1280	C₂²×C₇	—	4	1	no	—
1281	C₂²×C₇	—	4	1	no	—
1282	C₂²×C₇	—	4	1	no	—
1283	C₂²×C₇	—	4	1	no	—
1284	C₂²×C₇	—	4	1	no	—
1285	C₂²×C₇	—	4	1	no	—
1286	C₂²×C₇	—	4	1	no	—
1287	C₂²×C₇	—	4	1	no	—
1288	C₂²×C₇	—	8	2	no	—
1289	C₂²×C₇	—	16	2	no	—
1290	C₂²×C₇	C₂³×D₄	1	1	yes	characteristic
1291	C₄×C₇	—	2	1	no	—
1292	C₄×C₇	—	2	1	no	—
1293	C₄×C₇	—	2	1	no	—
1294	C₄×C₇	—	2	1	no	—
1295	C₄×C₇	—	2	1	no	—
1296	C₄×C₇	—	2	1	no	—
1297	C₄×C₇	—	2	1	no	—
1298	C₄×C₇	—	2	1	no	—
1299	C₄×C₇	—	2	1	no	—
1300	C₄×C₇	—	2	1	no	—
1301	C₄×C₇	—	2	1	no	—
1302	C₄×C₇	—	4	1	no	—
1303	C₄×C₇	—	4	1	no	—
1304	C₄×C₇	—	4	1	no	—
1305	C₄×C₇	—	4	1	no	—
1306	C₄×C₇	—	4	1	no	—
1307	C₄×C₇	—	4	1	no	—
1308	C₄×C₇	—	4	1	no	—
1309	C₄×C₇	—	4	1	no	—
1310	C₄×C₇	—	4	1	no	—
1311	C₄×C₇	—	4	1	no	—
1312	C₄×C₇	—	4	1	no	—
1313	C₄×C₇	—	4	1	no	—
1314	C₄×C₇	#585	1	1	yes	characteristic
1315	C₄×C₇	#585	1	1	yes	characteristic
1316	C₂⁴	—	2	1	no	—
1317	C₂⁴	C₂×C₇×D₄	1	1	yes	characteristic
1318	#41	—	4	1	no	—
1319	#41	—	4	1	no	—
1320	#41	—	4	1	no	—
1321	#41	—	4	1	no	—
1322	#41	—	8	2	no	—
1323	#41	—	8	2	no	—
1324	C₂×Q₈	—	2	1	no	—
1325	C₂×Q₈	—	2	1	no	—
1326	C₂×Q₈	—	2	1	no	—
1327	C₂×Q₈	—	2	1	no	—
1328	C₂×Q₈	—	2	1	no	—
1329	C₂×Q₈	—	4	1	no	—
1330	C₂×Q₈	—	4	1	no	—
1331	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
1332	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
1333	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
1334	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
1335	C₂×D₄	—	2	1	no	—
1336	C₂×D₄	—	2	1	no	—
1337	C₂×D₄	—	2	1	no	—
1338	C₂×D₄	—	2	1	no	—
1339	C₂×D₄	—	2	1	no	—
1340	C₂×D₄	—	2	1	no	—
1341	C₂×D₄	—	2	1	no	—
1342	C₂×D₄	—	2	1	no	—
1343	C₂×D₄	—	2	1	no	—
1344	C₂×D₄	—	2	1	no	—
1345	C₂×D₄	—	2	1	no	—
1346	C₂×D₄	—	2	1	no	—
1347	C₂×D₄	—	2	1	no	—
1348	C₂×D₄	—	2	1	no	—
1349	C₂×D₄	—	2	1	no	—
1350	C₂×D₄	—	4	1	no	—
1351	C₂×D₄	—	4	1	no	—
1352	C₂×D₄	—	8	2	no	—
1353	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1354	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1355	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1356	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1357	C₂²×C₄	—	2	1	no	—
1358	C₂²×C₄	—	2	1	no	—
1359	C₂²×C₄	—	2	1	no	—
1360	C₂²×C₄	—	2	1	no	—
1361	C₂²×C₄	—	2	1	no	—
1362	C₂²×C₄	—	2	1	no	—
1363	C₂²×C₄	—	2	1	no	—
1364	C₂²×C₄	—	2	1	no	—
1365	C₂²×C₄	—	2	1	no	—
1366	C₂²×C₄	—	2	1	no	—
1367	C₂²×C₄	—	2	1	no	—
1368	C₂²×C₄	—	2	1	no	—
1369	C₂²×C₄	—	2	1	no	—
1370	C₂²×C₄	—	4	1	no	—
1371	C₂²×C₄	—	4	1	no	—
1372	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1373	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1374	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1375	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1376	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1377	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1378	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1379	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1380	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1381	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1382	Q₁₆	—	4	1	no	—
1383	Q₁₆	—	4	1	no	—
1384	Q₁₆	—	4	1	no	—
1385	SD₁₆	—	4	1	no	—
1386	SD₁₆	—	4	1	no	—
1387	SD₁₆	—	4	1	no	—
1388	SD₁₆	—	4	1	no	—
1389	SD₁₆	—	4	1	no	—
1390	SD₁₆	—	4	1	no	—
1391	SD₁₆	—	4	1	no	—
1392	SD₁₆	—	4	1	no	—
1393	SD₁₆	—	4	1	no	—
1394	SD₁₆	—	4	1	no	—
1395	D₈	—	4	1	no	—
1396	D₈	—	4	1	no	—
1397	D₈	—	4	1	no	—
1398	M₁₆	—	4	1	no	—
1399	M₁₆	—	4	1	no	—
1400	M₁₆	—	4	1	no	—
1401	M₁₆	—	4	1	no	—
1402	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1403	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1404	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1405	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1406	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1407	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1408	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1409	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1410	C₄⋊C₄	—	2	1	no	—
1411	C₄⋊C₄	—	2	1	no	—
1412	C₄⋊C₄	—	2	1	no	—
1413	C₄⋊C₄	—	2	1	no	—
1414	C₄⋊C₄	—	2	1	no	—
1415	C₄⋊C₄	—	2	1	no	—
1416	C₄⋊C₄	—	2	1	no	—
1417	C₄⋊C₄	—	2	1	no	—
1418	C₄⋊C₄	—	2	1	no	—
1419	C₄⋊C₄	—	2	1	no	—
1420	C₄⋊C₄	—	2	1	no	—
1421	C₄⋊C₄	—	2	1	no	—
1422	C₄⋊C₄	—	2	1	no	—
1423	C₄⋊C₄	—	2	1	no	—
1424	C₄⋊C₄	—	2	1	no	—
1425	C₄⋊C₄	—	2	1	no	—
1426	C₄⋊C₄	—	2	1	no	—
1427	C₄⋊C₄	—	2	1	no	—
1428	C₄⋊C₄	—	2	1	no	—
1429	C₄⋊C₄	—	2	1	no	—
1430	C₄⋊C₄	—	2	1	no	—
1431	C₄⋊C₄	—	2	1	no	—
1432	C₄⋊C₄	—	2	1	no	—
1433	C₄⋊C₄	—	2	1	no	—
1434	C₄⋊C₄	—	2	1	no	—
1435	C₄⋊C₄	—	2	1	no	—
1436	C₄⋊C₄	—	2	1	no	—
1437	C₄⋊C₄	—	2	1	no	—
1438	C₄⋊C₄	—	2	1	no	—
1439	C₄⋊C₄	—	2	1	no	—
1440	C₄⋊C₄	—	2	1	no	—
1441	C₄⋊C₄	—	2	1	no	—
1442	C₄⋊C₄	—	2	1	no	—
1443	C₄⋊C₄	—	2	1	no	—
1444	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1445	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1446	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1447	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1448	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1449	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1450	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1451	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1452	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1453	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1454	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1455	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1456	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1457	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1458	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1459	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1460	C₂²⋊C₄	—	2	1	no	—
1461	C₂²⋊C₄	—	2	1	no	—
1462	C₂²⋊C₄	—	2	1	no	—
1463	C₂²⋊C₄	—	2	1	no	—
1464	C₂²⋊C₄	—	2	1	no	—
1465	C₂²⋊C₄	—	2	1	no	—
1466	C₂²⋊C₄	—	2	1	no	—
1467	C₂²⋊C₄	—	2	1	no	—
1468	C₂²⋊C₄	—	2	1	no	—
1469	C₂²⋊C₄	—	2	1	no	—
1470	C₂²⋊C₄	—	2	1	no	—
1471	C₂²⋊C₄	—	2	1	no	—
1472	C₂²⋊C₄	—	2	1	no	—
1473	C₂²⋊C₄	—	2	1	no	—
1474	C₂²⋊C₄	—	2	1	no	—
1475	C₂²⋊C₄	—	2	1	no	—
1476	C₂²⋊C₄	—	2	1	no	—
1477	C₂²⋊C₄	—	2	1	no	—
1478	C₂²⋊C₄	—	2	1	no	—
1479	C₂²⋊C₄	—	2	1	no	—
1480	C₂²⋊C₄	—	2	1	no	—
1481	C₂²⋊C₄	—	2	1	no	—
1482	C₂²⋊C₄	—	2	1	no	—
1483	C₂²⋊C₄	—	2	1	no	—
1484	C₂²⋊C₄	—	2	1	no	—
1485	C₂²⋊C₄	—	2	1	no	—
1486	C₂²⋊C₄	—	2	1	no	—
1487	C₂²⋊C₄	—	2	1	no	—
1488	C₂²⋊C₄	—	2	1	no	—
1489	C₂²⋊C₄	—	2	1	no	—
1490	C₂²⋊C₄	—	2	1	no	—
1491	C₂²⋊C₄	—	2	1	no	—
1492	C₂²⋊C₄	—	2	1	no	—
1493	C₂²⋊C₄	—	2	1	no	—
1494	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1495	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1496	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1497	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1498	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1499	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1500	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1501	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1502	C₄²	—	2	1	no	—
1503	C₄²	—	2	1	no	—
1504	C₄²	—	2	1	no	—
1505	C₄²	—	2	1	no	—
1506	C₄²	—	2	1	no	—
1507	C₄²	—	2	1	no	—
1508	C₄²	—	2	1	no	—
1509	C₄²	—	2	1	no	—
1510	C₄²	—	2	1	no	—
1511	C₄²	—	2	1	no	—
1512	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1513	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1514	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1515	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1516	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1517	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1518	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1519	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1520	C₂×C₇	—	4	1	no	—
1521	C₂×C₇	—	4	1	no	—
1522	C₂×C₇	—	4	1	no	—
1523	C₂×C₇	—	8	1	no	—
1524	C₂×C₇	—	8	1	no	—
1525	C₂×C₇	—	8	1	no	—
1526	C₂×C₇	—	8	1	no	—
1527	C₂×C₇	#3449	1	1	yes	characteristic
1528	C₂×C₇	#3585	1	1	yes	characteristic
1529	C₂×C₇	#3586	1	1	yes	characteristic
1530	C₂³	—	2	1	no	—
1531	C₂³	—	2	1	no	—
1532	C₂³	—	2	1	no	—
1533	C₂³	—	2	1	no	—
1534	C₂³	—	4	1	no	—
1535	C₂³	—	4	1	no	—
1536	C₂³	—	4	1	no	—
1537	C₂³	—	4	2	no	—
1538	C₂³	—	8	1	no	—
1539	C₂³	—	8	1	no	—
1540	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1541	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1542	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1543	Q₈	—	2	1	no	—
1544	Q₈	—	2	1	no	—
1545	Q₈	—	2	1	no	—
1546	Q₈	—	2	1	no	—
1547	Q₈	—	2	1	no	—
1548	Q₈	—	2	1	no	—
1549	Q₈	—	2	1	no	—
1550	Q₈	—	2	1	no	—
1551	Q₈	—	4	2	no	—
1552	Q₈	—	8	1	no	—
1553	Q₈	—	8	1	no	—
1554	Q₈	—	8	1	no	—
1555	Q₈	—	8	1	no	—
1556	D₄	—	2	1	no	—
1557	D₄	—	2	1	no	—
1558	D₄	—	2	1	no	—
1559	D₄	—	2	1	no	—
1560	D₄	—	2	1	no	—
1561	D₄	—	2	1	no	—
1562	D₄	—	2	1	no	—
1563	D₄	—	2	1	no	—
1564	D₄	—	4	2	no	—
1565	D₄	—	4	2	no	—
1566	D₄	—	4	2	no	—
1567	D₄	—	4	2	no	—
1568	D₄	—	4	2	no	—
1569	D₄	—	4	2	no	—
1570	D₄	—	4	2	no	—
1571	D₄	—	8	1	no	—
1572	D₄	—	8	1	no	—
1573	D₄	—	8	1	no	—
1574	D₄	—	8	1	no	—
1575	D₄	—	8	1	no	—
1576	D₄	—	8	1	no	—
1577	D₄	—	8	1	no	—
1578	D₄	—	8	1	no	—
1579	C₂×C₄	—	2	1	no	—
1580	C₂×C₄	—	2	1	no	—
1581	C₂×C₄	—	2	1	no	—
1582	C₂×C₄	—	2	1	no	—
1583	C₂×C₄	—	2	1	no	—
1584	C₂×C₄	—	2	1	no	—
1585	C₂×C₄	—	2	1	no	—
1586	C₂×C₄	—	2	1	no	—
1587	C₂×C₄	—	2	1	no	—
1588	C₂×C₄	—	2	1	no	—
1589	C₂×C₄	—	2	1	no	—
1590	C₂×C₄	—	2	1	no	—
1591	C₂×C₄	—	2	1	no	—
1592	C₂×C₄	—	2	1	no	—
1593	C₂×C₄	—	2	1	no	—
1594	C₂×C₄	—	2	1	no	—
1595	C₂×C₄	—	2	1	no	—
1596	C₂×C₄	—	2	1	no	—
1597	C₂×C₄	—	4	1	no	—
1598	C₂×C₄	—	4	1	no	—
1599	C₂×C₄	—	4	1	no	—
1600	C₂×C₄	—	4	1	no	—
1601	C₂×C₄	—	4	1	no	—
1602	C₂×C₄	—	4	1	no	—
1603	C₂×C₄	—	4	1	no	—
1604	C₂×C₄	—	4	2	no	—
1605	C₂×C₄	—	4	2	no	—
1606	C₂×C₄	—	4	2	no	—
1607	C₂×C₄	—	8	1	no	—
1608	C₂×C₄	—	8	1	no	—
1609	C₂×C₄	—	8	1	no	—
1610	C₂×C₄	—	8	1	no	—
1611	C₂×C₄	—	8	1	no	—
1612	C₂×C₄	—	8	1	no	—
1613	C₂×C₄	—	8	1	no	—
1614	C₂×C₄	—	8	1	no	—
1615	C₂×C₄	—	8	1	no	—
1616	C₂×C₄	—	8	1	no	—
1617	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1618	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1619	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1620	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1621	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1622	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1623	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1624	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1625	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1626	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1627	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1628	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1629	C₈	—	2	1	no	—
1630	C₈	—	2	1	no	—
1631	C₈	—	2	1	no	—
1632	C₈	—	2	1	no	—
1633	C₈	—	2	1	no	—
1634	C₈	—	2	1	no	—
1635	C₈	—	2	1	no	—
1636	C₈	—	2	1	no	—
1637	C₇	#61004	1	1	yes	characteristic, direct product factor, Sylow
1638	C₂²	—	2	1	no	—
1639	C₂²	—	2	1	no	—
1640	C₂²	—	2	1	no	—
1641	C₂²	—	2	1	no	—
1642	C₂²	—	2	1	no	—
1643	C₂²	—	2	1	no	—
1644	C₂²	—	2	1	no	—
1645	C₂²	—	2	1	no	—
1646	C₂²	—	2	1	no	—
1647	C₂²	—	4	1	no	—
1648	C₂²	—	4	1	no	—
1649	C₂²	—	4	1	no	—
1650	C₂²	—	4	1	no	—
1651	C₂²	—	4	1	no	—
1652	C₂²	—	4	1	no	—
1653	C₂²	—	4	1	no	—
1654	C₂²	—	4	1	no	—
1655	C₂²	—	4	1	no	—
1656	C₂²	—	4	1	no	—
1657	C₂²	—	4	1	no	—
1658	C₂²	—	4	1	no	—
1659	C₂²	—	8	2	no	—
1660	C₂²	—	16	2	no	—
1661	C₂²	C₂³×C₇×D₄	1	1	yes	characteristic
1662	C₄	—	2	1	no	—
1663	C₄	—	2	1	no	—
1664	C₄	—	2	1	no	—
1665	C₄	—	2	1	no	—
1666	C₄	—	2	1	no	—
1667	C₄	—	2	1	no	—
1668	C₄	—	2	1	no	—
1669	C₄	—	2	1	no	—
1670	C₄	—	2	1	no	—
1671	C₄	—	2	1	no	—
1672	C₄	—	2	1	no	—
1673	C₄	—	4	1	no	—
1674	C₄	—	4	1	no	—
1675	C₄	—	4	1	no	—
1676	C₄	—	4	1	no	—
1677	C₄	—	4	1	no	—
1678	C₄	—	4	1	no	—
1679	C₄	—	4	1	no	—
1680	C₄	—	4	1	no	—
1681	C₄	—	4	1	no	—
1682	C₄	—	4	1	no	—
1683	C₄	—	4	1	no	—
1684	C₄	—	4	1	no	—
1685	C₄	C₇×#585	1	1	yes	characteristic
1686	C₄	C₇×#585	1	1	yes	characteristic
1687	C₂	—	4	1	no	—
1688	C₂	—	4	1	no	—
1689	C₂	—	4	1	no	—
1690	C₂	—	8	1	no	—
1691	C₂	—	8	1	no	—
1692	C₂	—	8	1	no	—
1693	C₂	—	8	1	no	—
1694	C₂	C₇×#3449	1	1	yes	characteristic
1695	C₂	C₇×#3585	1	1	yes	characteristic
1696	C₂	C₇×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₇	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₇
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₇ ◁ C₂×C₇×#117 ◁ G

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. C₇×#3495	C₂	semidirect
2. C₇×#3494	C₂	semidirect
3. C₇×#3256	C₂	semidirect
4. C₇×#3254	C₂	semidirect
5. C₇×#3252	C₂	semidirect
6. C₇×#3251	C₂	semidirect
7. C₇×#3243	C₂	semidirect
8. C₇×#3243	C₂	semidirect
9. C₇×#3242	C₂	semidirect
10. C₇×#3241	C₂	semidirect
11. C₇×#3225	C₂	semidirect
12. C₇×#3224	C₂	semidirect
13. C₇×#3222	C₂	semidirect
14. C₇×#3221	C₂	semidirect
15. C₇×#3197	C₂	semidirect
16. C₇×#3196	C₂	semidirect
17. C₇×#3194	C₂	semidirect
18. C₇×#3193	C₂	semidirect
19. C₇×#3183	C₂	semidirect
20. C₇×#3182	C₂	semidirect
21. C₇×#3172	C₂	semidirect
22. C₇×#3171	C₂	semidirect
23. C₇×#3126	C₂	semidirect
24. C₇×#3124	C₂	semidirect
25. C₇×#3124	C₂	semidirect
26. C₇×#3123	C₂	semidirect
27. C₇×#3121	C₂	semidirect
28. C₇×#3120	C₂	semidirect
29. C₇×#3119	C₂	semidirect
30. C₇×#3118	C₂	semidirect
31. C₇×#2921	C₂	semidirect
49. C₇×#544	C₂²	semidirect
58. C₇×#536	C₂²	semidirect
60. C₇×#533	C₂²	semidirect
61. C₇×#533	C₂²	semidirect
66. C₇×#529	C₂²	semidirect
67. C₇×#529	C₂²	semidirect
73. C₇×#520	C₂²	semidirect
74. C₇×#519	C₂²	semidirect
77. C₇×#501	C₂²	semidirect
78. C₇×#501	C₂²	semidirect
79. C₇×#500	C₂²	semidirect
80. C₇×#499	C₂²	semidirect
81. C₇×#497	C₂²	semidirect
82. C₇×#496	C₂²	semidirect
83. C₇×#495	C₂²	semidirect
84. C₇×#492	C₂²	semidirect
85. C₇×#491	C₂²	semidirect
86. C₇×#490	C₂²	semidirect
87. C₇×#489	C₂²	semidirect
88. C₇×#489	C₂²	semidirect
89. C₇×#488	C₂²	semidirect
90. C₇×#488	C₂²	semidirect
91. C₇×#487	C₂²	semidirect
92. C₇×#486	C₂²	semidirect
96. C₇×#485	C₂²	semidirect
99. C₇×#484	C₂²	semidirect
104. C₇×#482	C₂²	semidirect
105. C₇×#481	C₂²	semidirect
109. C₇×#479	C₂²	semidirect
110. C₇×#479	C₂²	semidirect
111. C₇×#479	C₂²	semidirect
112. C₇×#479	C₂²	semidirect
113. C₇×#478	C₂²	semidirect
114. C₇×#478	C₂²	semidirect
115. C₇×#478	C₂²	semidirect
116. C₇×#478	C₂²	semidirect
117. C₇×#477	C₂²	semidirect
118. C₇×#477	C₂²	semidirect
119. C₇×#477	C₂²	semidirect
120. C₇×#476	C₂²	semidirect
121. C₇×#475	C₂²	semidirect
122. C₇×#474	C₂²	semidirect
123. C₇×#474	C₂²	semidirect
124. C₇×#474	C₂²	semidirect
125. C₇×#470	C₂²	semidirect
126. C₇×#470	C₂²	semidirect
127. C₇×#470	C₂²	semidirect
130. C₇×#469	C₂²	semidirect
137. C₇×#468	C₂²	semidirect
138. C₇×#468	C₂²	semidirect
139. C₇×#468	C₂²	semidirect
140. C₇×#468	C₂²	semidirect
141. C₇×#464	C₂²	semidirect
142. C₇×#464	C₂²	semidirect
143. C₇×#464	C₂²	semidirect
144. C₇×#464	C₂²	semidirect
145. C₇×#463	C₂²	semidirect
146. C₇×#463	C₂²	semidirect
147. C₇×#463	C₂²	semidirect
148. C₇×#463	C₂²	semidirect
149. C₇×#462	C₂²	semidirect
150. C₇×#461	C₂²	semidirect
151. C₇×#461	C₂²	semidirect
152. C₇×#461	C₂²	semidirect
153. C₇×#460	C₂²	semidirect
154. C₇×#460	C₂²	semidirect
155. C₇×#460	C₂²	semidirect
156. C₇×#459	C₂²	semidirect
160. C₇×#452	C₂²	semidirect
161. C₇×#451	C₂²	semidirect
168. C₇×#449	C₂²	semidirect
171. C₇×#448	C₂²	semidirect
173. C₇×#442	C₂²	semidirect
174. C₇×#441	C₂²	semidirect
175. C₇×#440	C₂²	semidirect
176. C₇×#440	C₂²	semidirect
177. C₇×#440	C₂²	semidirect
178. C₇×#440	C₂²	semidirect
179. C₇×#440	C₂²	semidirect
180. C₇×#440	C₂²	semidirect
181. C₄×C₇×Q₁₆	C₂²	semidirect
182. C₄×C₇×Q₁₆	C₂²	semidirect
183. C₄×C₇×SD₁₆	C₂²	semidirect
184. C₄×C₇×SD₁₆	C₂²	semidirect
185. C₄×C₇×SD₁₆	C₂²	semidirect
186. C₄×C₇×SD₁₆	C₂²	semidirect
187. C₄×C₇×D₈	C₂²	semidirect
188. C₄×C₇×D₈	C₂²	semidirect
193. C₇×#433	C₂²	semidirect
194. C₇×#433	C₂²	semidirect
195. C₇×#433	C₂²	semidirect
196. C₇×#433	C₂²	semidirect
197. C₇×#423	C₂²	semidirect
198. C₇×#423	C₂²	semidirect
201. C₄×C₇×M₁₆	C₂²	semidirect
202. C₄×C₇×M₁₆	C₂²	semidirect
203. #61004	C₇	direct (N × H)
479. #3495	C₂×C₇	semidirect
480. #3494	C₂×C₇	semidirect
481. #3256	C₂×C₇	semidirect
482. #3254	C₂×C₇	semidirect
483. #3252	C₂×C₇	semidirect
484. #3251	C₂×C₇	semidirect
485. #3243	C₂×C₇	semidirect
486. #3243	C₂×C₇	semidirect
487. #3242	C₂×C₇	semidirect
488. #3241	C₂×C₇	semidirect
489. #3225	C₂×C₇	semidirect
490. #3224	C₂×C₇	semidirect
491. #3222	C₂×C₇	semidirect
492. #3221	C₂×C₇	semidirect
493. #3197	C₂×C₇	semidirect
494. #3196	C₂×C₇	semidirect
495. #3194	C₂×C₇	semidirect
496. #3193	C₂×C₇	semidirect
497. #3183	C₂×C₇	semidirect
498. #3182	C₂×C₇	semidirect
499. #3172	C₂×C₇	semidirect
500. #3171	C₂×C₇	semidirect
501. #3126	C₂×C₇	semidirect
502. #3124	C₂×C₇	semidirect
503. #3124	C₂×C₇	semidirect
504. #3123	C₂×C₇	semidirect
505. #3121	C₂×C₇	semidirect
506. #3120	C₂×C₇	semidirect
507. #3119	C₂×C₇	semidirect
508. #3118	C₂×C₇	semidirect
509. #2921	C₂×C₇	semidirect
731. #544	C₂²×C₇	semidirect
740. #536	C₂²×C₇	semidirect
742. #533	C₂²×C₇	semidirect
743. #533	C₂²×C₇	semidirect
748. #529	C₂²×C₇	semidirect
749. #529	C₂²×C₇	semidirect
755. #520	C₂²×C₇	semidirect
756. #519	C₂²×C₇	semidirect
759. #501	C₂²×C₇	semidirect
760. #501	C₂²×C₇	semidirect
761. #500	C₂²×C₇	semidirect
762. #499	C₂²×C₇	semidirect
763. #497	C₂²×C₇	semidirect
764. #496	C₂²×C₇	semidirect
765. #495	C₂²×C₇	semidirect
766. #492	C₂²×C₇	semidirect
767. #491	C₂²×C₇	semidirect
768. #490	C₂²×C₇	semidirect
769. #489	C₂²×C₇	semidirect
770. #489	C₂²×C₇	semidirect
771. #488	C₂²×C₇	semidirect
772. #488	C₂²×C₇	semidirect
773. #487	C₂²×C₇	semidirect
774. #486	C₂²×C₇	semidirect
778. #485	C₂²×C₇	semidirect
781. #484	C₂²×C₇	semidirect
786. #482	C₂²×C₇	semidirect
787. #481	C₂²×C₇	semidirect
791. #479	C₂²×C₇	semidirect
792. #479	C₂²×C₇	semidirect
793. #479	C₂²×C₇	semidirect
794. #479	C₂²×C₇	semidirect
795. #478	C₂²×C₇	semidirect
796. #478	C₂²×C₇	semidirect
797. #478	C₂²×C₇	semidirect
798. #478	C₂²×C₇	semidirect
799. #477	C₂²×C₇	semidirect
800. #477	C₂²×C₇	semidirect
801. #477	C₂²×C₇	semidirect
802. #476	C₂²×C₇	semidirect
803. #475	C₂²×C₇	semidirect
804. #474	C₂²×C₇	semidirect
805. #474	C₂²×C₇	semidirect
806. #474	C₂²×C₇	semidirect
807. #470	C₂²×C₇	semidirect
808. #470	C₂²×C₇	semidirect
809. #470	C₂²×C₇	semidirect
812. #469	C₂²×C₇	semidirect
819. #468	C₂²×C₇	semidirect
820. #468	C₂²×C₇	semidirect
821. #468	C₂²×C₇	semidirect
822. #468	C₂²×C₇	semidirect
823. #464	C₂²×C₇	semidirect
824. #464	C₂²×C₇	semidirect
825. #464	C₂²×C₇	semidirect
826. #464	C₂²×C₇	semidirect
827. #463	C₂²×C₇	semidirect
828. #463	C₂²×C₇	semidirect
829. #463	C₂²×C₇	semidirect
830. #463	C₂²×C₇	semidirect
831. #462	C₂²×C₇	semidirect
832. #461	C₂²×C₇	semidirect
833. #461	C₂²×C₇	semidirect
834. #461	C₂²×C₇	semidirect
835. #460	C₂²×C₇	semidirect
836. #460	C₂²×C₇	semidirect
837. #460	C₂²×C₇	semidirect
838. #459	C₂²×C₇	semidirect
842. #452	C₂²×C₇	semidirect
843. #451	C₂²×C₇	semidirect
850. #449	C₂²×C₇	semidirect
853. #448	C₂²×C₇	semidirect
855. #442	C₂²×C₇	semidirect
856. #441	C₂²×C₇	semidirect
857. #440	C₂²×C₇	semidirect
858. #440	C₂²×C₇	semidirect
859. #440	C₂²×C₇	semidirect
860. #440	C₂²×C₇	semidirect
861. #440	C₂²×C₇	semidirect
862. #440	C₂²×C₇	semidirect
863. C₄×Q₁₆	C₂²×C₇	semidirect
864. C₄×Q₁₆	C₂²×C₇	semidirect
865. C₄×SD₁₆	C₂²×C₇	semidirect
866. C₄×SD₁₆	C₂²×C₇	semidirect
867. C₄×SD₁₆	C₂²×C₇	semidirect
868. C₄×SD₁₆	C₂²×C₇	semidirect
869. C₄×D₈	C₂²×C₇	semidirect
870. C₄×D₈	C₂²×C₇	semidirect
875. #433	C₂²×C₇	semidirect
876. #433	C₂²×C₇	semidirect
877. #433	C₂²×C₇	semidirect
878. #433	C₂²×C₇	semidirect
879. #423	C₂²×C₇	semidirect
880. #423	C₂²×C₇	semidirect
883. C₄×M₁₆	C₂²×C₇	semidirect
884. C₄×M₁₆	C₂²×C₇	semidirect
1637. C₇	#61004	direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₇×#3495	2
C₇×#3494	2
C₇×#3256	2
C₇×#3254	2
C₇×#3252	2
C₇×#3251	2
C₇×#3243	2
C₇×#3242	2
C₇×#3241	2
C₇×#3225	2
C₇×#3224	2
C₇×#3222	2
C₇×#3221	2
C₇×#3197	2
C₇×#3196	2
C₇×#3194	2
C₇×#3193	2
C₇×#3183	2
C₇×#3182	2
C₇×#3172	2
C₇×#3171	2
C₇×#3126	2
C₇×#3124	2
C₇×#3123	2
C₇×#3121	2
C₇×#3120	2
C₇×#3119	2
C₇×#3118	2
C₇×#2921	2
#61004	7

Subgroups — C7×#61004 #13238220

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#61004 #13238220